Abstract
This two-part paper presents an improved version of the method of evaluation uncertainties in the multiparameter indirect measurements stated in the Supplement 2 to GUM guide. In this part 1 it was done for the case of correlated quantities on the example of two-parameter (2D) jointed measurements. It consists the correlation of individual components of deviations from the estimator of result with the type A and/or type B uncertainty of measurands. The general formulas for the covariance matrix, final uncertainties and correlation coefficient were determined as well as formulas for several specific cases. The graphs show the correlation coefficients of the output quantities as a function of the type B contribution in the uncertainty of the input quantities. The inclusion of correlations of uncertainty components makes the uncertainty evaluations of output quantities more reliable and accurate.
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References
JCGM100, 2008 Evaluation of measurement data — Guide to the Expression of Uncertainty in Measurement, JCGM 100:2008, GUM 1995 with minor corrections, and Supplements: -S1. Propagation of distributions using a Monte Carlo method. JCGM 101:2008, BIPM. -S2. Extension to any number of output quantities. JCGM 102:2011 BIPM. -S6. The role of measurement uncertainty in conformity assessment JCGM 106:2012, BIPM
Conformity Assessment-Requirements for Competence of Testing and Calibration Labs, ISO/IEC 17025:2017
JCGM 200:2012 International vocabulary of metrology – Basic and general concepts and associated terms (VIM) 3rd edition
EA-4/02.M: 2013 Evaluation of the Uncertainty of Measurement in Calibration
Dorozhovets, M., Warsza, Z.L.: Upgrading calculating methods of the uncertainty of measurement results in practice. Przegląd Elektrotechniki - Electr. Rev. 1, 1–13 (2007). (in Polish)
Dorozhovets, M., Warsza, Z.L.: Methods of upgrading the uncertainty of type A evaluation, Part 2. Elimination of the influence of autocorrelation of observations and choosing the adequate distribution. In: Proceedings of 15th IMEKO TC4 Symposium, Iasi, Romania, pp. 199–204 (2007)
Zakharow, I.P.: Estimating measurement uncertainty on the basis of observed and logical correlation. Meas. Tech. 50(8), 808–819 (2007)
Warsza, Z.L., Ezhela, V.: About evaluation of multivariate measurement results. J. Autom. Mob. Robot. Intell. Syst. 6(4), 27–32 (2012)
Warsza, Z.L.: Methods of Extension of the Measurement Uncertainty Analysis (Metody rozszerzenia analizy niepewności pomiarów). Monograph. PIAP, Warszawa (2016). (in Polish)
Warsza, Z.L.: Estimation of uncertainty of indirect measurement in multi-parametric systems with few examples. Part 1, and with Puchalski J.: Part 2. In: Proceedings of Conference (on CD): Problems and Progress of Metrology ppm’18 Conference Series: No. 22, Metrology Commission of Katowice Branch of the Polish Academy of Science (2018). ISBN 978-83-7880-541-0
Warsza, Z.L., Puchalski, J.: Vector method of estimation the uncertainties of correlated multi-measurands. In: Proceedings (Conference Digest) of Quantum and Precision Metrology QPM 2019 Conference Krakow, Poland, 17–19 June 2019. ISBN 978-83-939486-5-9, SIV 4
Warsza, Z.L., Puchalski, J.: Extended method for the estimation of uncertainties in multiparameter measurements Part 1. Theoretical basis of correlated input measurands. Pomiary Automatyka Robotyka 1, 47–58 (2019). https://doi.org/10.14311/PAR_230/47. (in Polish)
Warsza, Z.L., Puchalski, J.: Extended method for the estimation of uncertainties in multiparameter measurements Part 2 examples of 2D measurements with correlated uncertainties of type A and type B. Pomiary Automatyka Robotyka 2, 29–35 (2019). https://doi.org/10.14311/PAR_231/29. (in Polish)
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Warsza, Z.L., Puchalski, J. (2020). Estimation of Uncertainties in Indirect Multivariable Measurements: Part 1. Case of Correlated Quantities. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2020: Towards Industry of the Future. AUTOMATION 2020. Advances in Intelligent Systems and Computing, vol 1140. Springer, Cham. https://doi.org/10.1007/978-3-030-40971-5_29
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DOI: https://doi.org/10.1007/978-3-030-40971-5_29
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